A 60 kg student consumes 2500 Cal each day and stays the same weight. One day, he eats 3500 Caland, wanting to keep from gaining weight, decides to "work off" the excess by jumping up and down. With each jump, he acceler ...

Helium-3 (He3) has potential to be used as fuel in future nuclear fusion power plants. It would produce a clean fusion process, leaving little of the radioactive waste that plagues nuclear fission. But Helium-3 is found ...

What is the capacity of the axon of a spiking neuron, viewed as a communication channel, in bits per second? [See MacKay and McCulloch (1952) for an early publication on this topic.] Multiply by the number of axons in th ...

Construct a simple example to illustrate the fact that the digital fountain decoder of section 50.2 is suboptimal - it sometimes gives up even though the information available is sufficient to decode the whole file. How ...

See if you can prove that K-means always converges. [Hint: find a physical analogy and an associated Lyapunov function.] [A Lyapunov function is a function of the state of the algorithm that decreases whenever the state ...

Consider a spiral galaxy with a "flat" rotation curve beyond the central 2 kpc a. Derive the general relation giving the orbital period, P, of a star (or other object) in the disc orbiting the centre of the galaxy, as a ...

1. Does food irradiation leave the food radioactive? To what extent is the food altered chemically for low and high doses in food irradiation? 2. Compare a low dose of radiation to a human with a low dose of radiation us ...

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